The universal constant for the speed of light in a vacuum is 3 × 10⁸ ms⁻¹.

Einstein published his theory of special relativity during his 'Miracle Year' in 1905.

Using S = 0.5 * g * t²: S = 0.5 * 9.8 * (2)² = 19.6 meters.

Acceleration ('a') appears in the 1st (v=u+at), 2nd (s=ut+½at²), and 3rd (v²=u²+2as) equations.

Force (Weight) = mass * gravity = 1 kg * 9.8 m/s² = 9.8 N.

Because initial velocity (vi) is 0, the equation vf = vi + gt simplifies to v = gt.

Using S = 0.5 * g * t²: S = 0.5 * 9.8 * (1)² = 4.9 meters.

On Earth, free-falling objects accelerate downwards at an average rate of 9.8 m/s².

Light travels in a vacuum at a constant speed of approximately 3 × 10⁸ meters per second.

In foundational 1D kinematics, motion is typically analyzed along a straight line path.

This represents the third equation of motion under gravity. (Assuming typo in option C for vf² - vi²).

Because the object moves opposite to the downward pull of gravity, g is taken as negative (-10 m/s²).

For basic physics problems, g is often rounded to 10 m/s².

Rearranging 2aS = vf² - vi² gives 2aS + vi² = vf² (or v²).

All listed equations are valid, but the key explicitly selects option C (the third equation).

The third equation of motion links final velocity, initial velocity, acceleration, and displacement: v² = u² + 2as.

The overall gradient between two points on a speed-time graph yields average acceleration.

A parallel line means speed is constant. If speed does not change, acceleration is zero.

Multiplying the y-axis (speed) by the x-axis (time) yields distance.

Constant acceleration means speed changes at a steady rate, producing a straight, angled line.

The mathematical slope of a speed-time curve yields acceleration.

Gradient is the rate of change of speed, which is acceleration.

The change in speed over time defines the magnitude of acceleration.

The area equates to speed * time, which geometrically calculates the distance covered.

Speed multiplied by time gives the total distance travelled by the object. (Key indicates Displacement).

The key selects 'None', though generally it represents speed. Follows the provided answer key.

The gradient directly quantifies the steepness or slope of the graphical line.

The slope calculates how much distance changes per unit time, defining speed.

Gradient refers to the 'rise over run', which translates to distance over time, or speed.

Because distance is a scalar, its rate of change (the slope) is speed.

The zero coordinate intersection (0,0) is formally termed the origin.

The gradient or slope of a distance-time graph represents the object's speed.

Constant speed produces a steady increase in distance, creating a straight, inclined line on the graph.

According to the key, graphs can display information using curves and various lines.

Time progresses independently of other variables, so it is plotted on the x-axis as the independent variable.

In a Cartesian plane, the intersection of the x and y axes is called the origin.

Uniform acceleration represents a straight, sloped line on a velocity-time graph. The key notes Graph C.

A steeper slope on a d-t graph indicates a higher velocity. Assuming line A is steeper, velocity A > B.

Multiply 1.5 by (3600 * 3600) / 1000 to convert to km/h², yielding 19440.

Uniform velocity implies there is no change in velocity, meaning acceleration is zero.

If velocity changes at a constant rate, the acceleration value remains constant.

a = Δv / t = 20 / 5 = 4 m/s².

Gravity acts constantly downwards, so acceleration remains 9.8 m/s² even when velocity is momentarily zero.

Deceleration implies acceleration is opposite to the direction of motion, so it points East.

a = (vf - vi) / t = (20 - 0) / 8 = 2.5 m/s².

When velocity decreases, the change in velocity is negative, leading to negative acceleration (deceleration).

Acceleration is velocity (m/s) divided by time (s), resulting in meters per second squared.

The first equation of motion is rearranged as final velocity (vf) = initial velocity (vi) + at.

Acceleration measures how quickly velocity changes over time.

Velocity is defined as the net displacement per unit of time.

Speed and velocity both share the SI unit of m/s, but the key selects 'None'.

Both the cheetah and the sailfish have top speeds that approach roughly 110 km/h.

The sailfish is widely regarded as one of the fastest species of fish in the ocean.

72 km/h multiplied by (5/18) conversion factor equals 20 m/s.

Velocity is displacement (meters) over time (seconds), yielding meters per second.

The International System of Units (SI) uses meters per second (ms⁻¹) for speed.

Average speed = Total Distance / Total Time = 100 / 12 = 8.33 m/s.

Using vf = vi + at: vf = 10 + (2 * 10) = 30 m/s.

Change in velocity (Δv) = acceleration (a) * time (t) = 2 * 5 = 10 m/s.

Displacement = 60 - 30 = 30m. Total time = 3 + 2 = 5s. Velocity = 30 / 5 = 6 m/s.

According to the key, the answer is 8.33 m/s, which implies the race was 100 meters (100/12 ≈ 8.33), despite the text saying 700m.

Cheetahs are known for burst speeds. The key selects 90 km/h for this specific question context.

Multiply 36 by (1000 m / 3600 s) to get 10 m/s.

Velocity is formally defined as the rate of change of displacement over time.

At the peak of its trajectory, the object momentarily stops to reverse direction, making velocity zero.

The cheetah, the fastest land mammal, has recorded top speeds near 110-120 km/h.

The official SI base unit combination for speed is meters per second (ms⁻¹).

Falcons, in their hunting dive, can reach remarkable speeds of around 200 km/h or more.

The formula for distance (S) is speed (v) multiplied by time (t).

Both distance and displacement are lengths, so they share the SI unit of meters.

Since displacement is a measure of length, its SI unit is the meter (m).

The straight-line, shortest path between an initial and final position is displacement.

The physical length of the track or path covered is referred to as distance.

From the equation v = S/t, rearranging gives S = v * t, which is distance or displacement.

A steeper slope on a displacement-time graph indicates a higher velocity.

Distance = 3+4=7 km. Displacement = √(3² + 4²) = 5 km. Key lists 7 km, 5 km.

The overall change in position, represented as a straight line, is displacement.

Because distance does not depend on direction, it is a scalar quantity.

A change in position from an initial point to a final point is the definition of displacement.

Displacement has both magnitude and a specific directional component.

Distance is the total scalar measure of the actual path traversed by an object.

Distance is proportional to time squared (S ∝ t²). To cover 1/4 S, it takes 1/2 the time (4 / 2 = 2 s).

Using S = vi*t + 0.5*a*t²: 100 = 0 + 0.5*a*(100). Solving yields a = 2 m/s².

a = (vf - vi) / t. Therefore, a = (20 - 0) / 5 = 4 m/s².

The third equation is a time-independent relation between velocity, acceleration, and displacement.

The second equation relates displacement to initial velocity, time, and acceleration.

The first equation of motion relates final velocity to initial velocity, acceleration, and time.

To convert km/h to m/s, multiply by 1000/3600. 36 * (5/18) = 10 m/s.

A constant slope on a v-t graph means velocity changes at a steady rate, implying uniform acceleration.

Multiplying velocity by time (the area under the curve) yields the displacement.

The gradient or slope (y/x) of a displacement-time graph represents the object's velocity.

Acceleration measures the change in velocity; if velocity is constant, there is no change, so acceleration is zero.

Velocity is the vector quantity defined as displacement divided by time.

When the rate of covering distance does not change, it is defined as uniform speed.

Average speed is calculated as the ratio of total distance to total time.

The key indicates Random motion, though physically a see-saw represents vibratory (oscillatory) motion.

A steering wheel pivots and rotates about its central steering column axis.

Straight-line motion is specifically referred to as linear motion.

The screw spins along with the fan's central axis, undergoing rotatory motion.

A see-saw moves repeatedly back and forth about a mean position, demonstrating vibratory motion.

The blades of a fan spin around a central fixed axis, which is purely rotatory motion.

A bee flies in a zigzag, unpredictable path, which is defined as random motion.

Spinning or turning around a fixed internal or external axis is rotatory motion.

Translatory motion involves moving along a path (straight or curved) without the body rotating.

Translatory motion is divided into three types: linear, circular, and random.

The definition of 'rest' is when a body does not move relative to its surroundings. (Key indicates option C).

If distance does not change as time passes, the line is flat, meaning the object is at rest.

Because the motorcyclist's position is not changing relative to the road, they are at rest.

A state of rest is defined as a lack of change in position relative to a reference point.

The resultant vector represents the sum and combined effect of two or more vectors.

Length only possesses magnitude without a defined spatial direction, so it is a scalar.

The head-to-tail graphical method can be chained to add any number of vectors together.

Vectors are generally represented in two ways: graphically (with an arrow) and symbolically (bold text or bar).

The key selects Velocity, though in standard physics, velocity is a vector and speed is its scalar equivalent.

Distance is a measurement of length, which is one of the fundamental base quantities.

Force requires both magnitude and direction, making it a vector, not a scalar.

Velocity is a vector, but the key selects 'Speed', which is classically a scalar quantity.

Kinematics is the study of motion without considering forces. The key selects 'Astronomy', though scientifically Kinematics is the correct term.

The head-to-tail rule is a graphical method used to add vectors together.

In a standard Cartesian coordinate system, the horizontal axis is known as the x-axis.

On a coordinate graph, the origin point (0,0) is universally denoted by the letter 'O'.

Time only has magnitude and moves in one temporal dimension, making it a scalar quantity.

Following the provided key, the value is 25 ms⁻¹.

Displacement has both magnitude and a specific direction, making it a vector quantity.

A scalar requires magnitude and a proper unit. The provided key selects 'None' likely because the options lack the 'unit' component.

Mechanics is broadly divided into two main branches: Kinematics and Dynamics.